Question

Simplify the following expression

7-5/6 × 7-7/6

Answer 1

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`7 - ( (5)/(6) * 7) - (7)/(6)`

`= 7 - (35)/(6) - (7)/(6)`

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for the denominators.

The L. C. M is 6.

Now, multiply the L.C.M. with both numerator & denominator.

`= (7 * 6)/(1 * 6) - (35)/(6) - (7)/(6)`

Now that the denominators are equal, we can add/subtract them.

`= (42- 35 - 7)/(6)`

`= (42 - 42)/(6)`

`= ( 0)/(6)`

`= 0`

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